Reliability analysis of the retrial queue with server breakdowns and repairs
Reliability analysis of the retrial queue with server breakdowns and repairs
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DOI：
10.1023/a:1010918926884
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发表时间：
2001-01-01
期刊：
影响因子：
1.2
通讯作者：
Li, QL
中科院分区：
文献类型：
--
作者：
Wang, JT;Cao, JH;Li, QL
重试排队已被广泛地用于模拟电话交换系统、电信网络、计算机网络和计算机系统等中出现的许多问题。由于服务器故障修复能力有限，故障对系统性能指标的影响很大，因此研究服务器故障修复重试排队的可靠性具有重要意义。然而，到目前为止，可修重试排队系统的分析仅限于排队论。本文对重试排队系统的可靠性进行了详细的分析。利用补充变量法，得到了服务器的可用度、故障频率和可靠性函数等主要可靠性指标的显式表达式。此外，还可以得到一些特殊的排队系统，如可修M/G/1排队系统和可修重试排队系统。这些结果可以推广到可修的多服务台重试模型。
Retrial queues have been widely used to model many problems arising in telephone switching systems, telecommunication networks, computer networks and computer systems, etc. It is of basic importance to study reliability of retrial queues with server breakdowns and repairs because of limited ability of repairs and heavy influence of the breakdowns on the performance measure of the system. However, so far the repairable retrial queues are analyzed only by queueing theory. In this paper we give a detailed analysis for reliability of retrial queues. By using the supplementary variables method, we obtain the explicit expressions of some main reliability indexes such as the availability, failure frequency and reliability function of the server. In addition, some special queues, for instance, the repairable M/G/1 queue and repairable retrial queue can be derived from our results. These results may be generalized to the repairable multi-server retrial models.